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arXiv · 1106.4387

Einstein relation for biased random walk on Galton--Watson trees

Gerard Ben Arous·Yueyun Hu·Stefano Olla·Ofer Zeitouni
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Abstract

We prove the Einstein relation, relating the velocity under a small perturbation to the diffusivity in equilibrium, for certain biased random walks on Galton--Watson trees. This provides the first example where the Einstein relation is proved for motion in random media with arbitrary deep traps.

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Gerard Ben Arous, Yueyun Hu, Stefano Olla, Ofer Zeitouni. 2011-12-22. Einstein relation for biased random walk on Galton--Watson trees. https://arxiv.org/abs/1106.4387

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